Question

If p and q are two distinct irrational numbers then what is always an irrational number?

Answer 1

p^2q+qp/pq is the right answer . you can solve other options by taking p=√2 and q=2√2.

Answer 2

If p and q are two distinct irrational numbers ,

then suppose ,p=√2, q=√3

→p+ q= Irrational number as sum of two distinct irrational is always an irrational.

→p-q = Irrational number as difference of two distinct irrational is always an irrational.

→p/q=Irrational number as division of two distinct  irrational is always an irrational.

→ p×q=Irrational number as product of two distinct irrational is always an irrational.